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Simplifying 2w + -10 = 7(w + -5) Reorder the terms: -10 + 2w = 7(w + -5) Reorder the terms: -10 + 2w = 7(-5 + w) -10 + 2w = (-5 * 7 + w * 7) -10 + 2w = (-35 + 7w) Solving -10 + 2w = -35 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -10 + 2w + -7w = -35 + 7w + -7w Combine like terms: 2w + -7w = -5w -10 + -5w = -35 + 7w + -7w Combine like terms: 7w + -7w = 0 -10 + -5w = -35 + 0 -10 + -5w = -35 Add '10' to each side of the equation. -10 + 10 + -5w = -35 + 10 Combine like terms: -10 + 10 = 0 0 + -5w = -35 + 10 -5w = -35 + 10 Combine like terms: -35 + 10 = -25 -5w = -25 Divide each side by '-5'. w = 5 Simplifying w = 5
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